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Simplifying 5p + -7(6p + 3) = 24 + 8p Reorder the terms: 5p + -7(3 + 6p) = 24 + 8p 5p + (3 * -7 + 6p * -7) = 24 + 8p 5p + (-21 + -42p) = 24 + 8p Reorder the terms: -21 + 5p + -42p = 24 + 8p Combine like terms: 5p + -42p = -37p -21 + -37p = 24 + 8p Solving -21 + -37p = 24 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -21 + -37p + -8p = 24 + 8p + -8p Combine like terms: -37p + -8p = -45p -21 + -45p = 24 + 8p + -8p Combine like terms: 8p + -8p = 0 -21 + -45p = 24 + 0 -21 + -45p = 24 Add '21' to each side of the equation. -21 + 21 + -45p = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -45p = 24 + 21 -45p = 24 + 21 Combine like terms: 24 + 21 = 45 -45p = 45 Divide each side by '-45'. p = -1 Simplifying p = -1
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